2012•Journal of Hefei University of TechnologyRequires access
Improvement of Simpson-Newton's iterative method
Qingwei Guo
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Abstract
A kind of third-order convergence method for solving roots of nonlinear equation is developed by using Newton axiom.It is proved that third-order convergence nears simple root and the computational efficiency of the method is higher than that of other iterative methods.In the case of multiplicity m of roots of equation being known or unknown,the improved formula of the method and the order of convergence are given.Numerical tests are given and the results are compared with those of other iterative methods.It is shown that the proposed method is effective and it has some values in both theory and application.